v=1/2723v-6=12

Solution for v=1/2723v-6=12 equation:

v=1/2723v-6=12

We move all terms to the left:

v-(1/2723v-6)=0


Domain of the equation: 2723v-6)!=0

v∈R


We get rid of parentheses

v-1/2723v+6=0

We multiply all the terms by the denominator


v*2723v+6*2723v-1=0

Wy multiply elements

2723v^2+16338v-1=0

a = 2723; b = 16338; c = -1;
Δ = b2-4ac
Δ = 163382-4·2723·(-1)
Δ = 266941136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{266941136}=\sqrt{16*16683821}=\sqrt{16}*\sqrt{16683821}=4\sqrt{16683821}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16338)-4\sqrt{16683821}}{2*2723}=\frac{-16338-4\sqrt{16683821}}{5446}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16338)+4\sqrt{16683821}}{2*2723}=\frac{-16338+4\sqrt{16683821}}{5446}
$